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Popular >

simplify ln(x^{-1})+2ln(x)

Solution

simplify

ln (x^{- 1}) + 2 ln (x)

Solution

ln (x)

Solution steps

ln (x^{- 1}) + 2 ln (x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x) = ln (x^{2})

= ln (x^{- 1}) + ln (x^{2})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (x^{- 1}) + ln (x^{2}) = ln (x^{- 1} x^{2})

= ln (x^{- 1} x^{2})

Simplify

x^{- 1} x^{2} : x

= ln (x)

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Frequently Asked Questions (FAQ)

What is ln(x^{-1})+2ln(x) ?
The solution to ln(x^{-1})+2ln(x) is ln(x)